Abstract: In a resonator-type SAW filter, at least one series-arm SAW resonator has an interdigital transducer with reflectors on both sides, and the reflectors are separated from the interdigital transducer by a distance of from (N/2+0.55).lambda..sub.1 to (N/2+0.81).lambda..sub.1, where N is an arbitrary non-negative integer and .lambda..sub.1 is the wavelength of the surface acoustic waves excited by the SAW resonator. Alternatively, from 30% to 80% of the electrode fingers Constituting the interdigital transducer in at least one series-arm SAW resonator are apodized, dividing the interdigital transducer into an excitation region and a dummy region, and the electrode fingers in the dummy region are offset from the electrode fingers in the excitation region by a distance of 0.05.lambda..sub.1 to 0.31.lambda..sub.1.

Abstract: An edge reflection longitudinally coupled surface acoustic wave filter utilizing an SH-type surface wave includes a piezoelectric substrate having two opposing edge surfaces, and first and second interdigital transducers each having a plurality of electrode fingers and being arranged on the piezoelectric substrate such that a shear horizontal surface wave excited by one of the first and second interdigital transducers is reflected between the two opposing edge surfaces to form a standing wave. Attenuation poles of frequency characteristics of the first and second interdigital transducers are adjacent to the frequency position of spurious responses determined by the distance between the two opposing edge surfaces.

Abstract: A three-electrode longitudinally-coupled-type SAW resonator filter has an improved level of selectivity by effectively suppressing unwanted large spurious responses generated in a range higher than the pass band. A first ID electrode, a second ID electrode and a third ID electrode are disposed on a piezoelectric substrate. Reflectors are provided on one side of each of the second and third ID electrodes, respectively. A center distance L.sub.1 between the most adjacent electrode fingers of the respective first and second ID electrodes is differentiated from the center distance L.sub.2 between the most adjacent electrode fingers of the respective first and third ID electrodes. Further, the first ID electrode is weighted to more effectively suppress undesired spurious responses.

Abstract: The inside-band characteristic of an internal reflection type unidirectional surface acoustic wave filter is improved by using an internal reflection type unidirectional surface acoustic wave filter having positive and negative finger electrodes (10, 11) of the interdigital transducer and having open or short-circuit type floating electrodes (12) therebetween. The finger electrodes are subjected to weighting by a withdrawal technique and the filter is structured such that at portions wherein no electrical cross is made between the positive and negative finger electrodes, i.e., in case where adjacent finger electrodes each have the same sign as that of the positive finger electrode or negative finger electrode, the floating electrodes (13) located therebetween are not displaced from the center positions therebetween.

Abstract: In a ceramic package for encapsulating a SAW (surface acoustic wave) filter, a metal pad is formed on the bottom of a recess formed in the package. A SAW filter chip is mounted to the package such that propagation paths formed on the chip face the bottom of the recess with the intermediary of a gap. The gap promotes easy impedance adjustment.

Abstract: A surface acoustic wave device includes first and second longitudinal mode resonators. The first longitudinal mode resonator has two resonance modes, i.e., a longitudinal mode distributed in the same direction as a propagating direction of a surface acoustic wave (SAW) and a transverse mode distributed in a direction perpendicular to the propagating direction of the SAW. The second longitudinal mode resonator is arranged adjacent to the first resonator in a direction perpendicular to the propagating direction of the SAW, and has two resonance modes, i.e., a longitudinal mode and a transverse mode. The resonance modes of the second longitudinal mode resonator are acoustically coupled to the resonance modes of the first longitudinal mode resonator. The first longitudinal mode resonator has an output InterDigital Transducer (IDT) having an interdigital electrode to excite a SAW. The second longitudinal mode resonator has an input IDT having an interdigital electrode to receive the SAW from the output IDT.

Abstract: A surface acoustic wave filter is provided which performs balanced signal/unbalanced signal conversion. The input and output impedances are different from each other. In a surface acoustic wave filter of the longitudinal mode type, a signal is applied to two terminals of an input interdigital transducer, or a signal is output from two terminals of an output interdigital transducer, thereby consituting a balanced type filter. The aperture length of the input interdigital transducer is different from that of the output interdigital transducer.

Abstract: A surface acoustic wave filter device suitable for CDMA communication system, includes a piezoelectric substrate, and a unidirectional input side transducer and a bidirectional output side transducer are formed on the substrate. The filter device has satisfactory filtering characteristics in terms of insertion loss, frequency characteristic, T.T.E. attenuation level, group delay time, etc.

Abstract: A radio switching apparatus is provided which is actuated upon reception of a radio signal and which is capable zero or near-zero standby electric power consumption. The radio switching apparatus includes a receiving antenna; a surface-acoustic-wave device to which a signal received by the antenna is fed and which extracts a specific pattern contained in the signal; a storing circuit for storing output electric power of the surface-acoustic-wave device; and a switch circuit which is turned on when the output voltage of the storing circuit exceeds a set value.

Abstract: A surface acoustic wave filter has one or more acoustic filter tracks. Each track has an input interdigital converter, an output interdigital converter, and a reflector. The reflector reflects surface waves between the input and output inter-digital converter by 180.degree.. The reflector is formed with a multiplicity of reflector electrode fingers which are combined into reflector finger groups. Mutually adjacent reflector finger groups are spaced apart by a defined spacing distance such that respective signals in adjacent reflector finger groups are superimposed in antiphase.

Abstract: A dual-function converter, particularly for a dual filter, suitable as a channel filter for double-standard input signals in television sets. Only a single input converter is disposed on the substrate chip, and it has two inputs. The filter configuration of the converter includes interdigital adaptation regions, which are connected in terms of potential to suit whichever of the input signals is selected.

Abstract: Selected transducer geometries including unbalanced split electrode and three electrode per wavelength structures are employed for use in wide band tapered SAW devices. Combining geometries useful in narrow bandwidth SAW filters for canceling reflected waves leading to triple transit interference, and electrode tapering useful in wide bandwidth SAW filters for permitting transduction of a wide range of surface acoustic wavelengths has the unexpected result of significantly reducing insertion loss and improving triple transit suppression over wider bandwidths than can be achieved with SPUDT designs on non-tapered devices. The interdigitized electrode fingers of opposing bus bars in the transducer have a tapered alignment wherein a period of electrode finger portions along an acoustic wave propagation axis decreases along a transducer dimension.

Abstract: Surface acoustic wave (SAW) filter performance is enhanced using series-block weighting and line-width weighting combined for providing a transducer having a finely adjusted uniform weighting across the beam profile. Such a transducer permits practical transducer pairing within a surface acoustic wave filter, as well as use with transducers requiring uniform weighting, such as transducers employing apodized weighting. A three electrode per wavelength transducer electrode finger geometry includes line-width weighting for providing a fine weighting control to complement the inherently coarse weighting control of the series-block weighted transducer. Selected transducer geometries including three electrode per wavelength structures are employed for use in wide band tapered electrode finger SAW devices.

Abstract: A matched filter has an input IDT and an output IDT, and also has a device for preventing propagating surface acoustic waves from diverging. By preventing the divergence of surface acoustic waves, signals obtained in units of electrode finger pairs of the output IDT are uniformed. Furthermore, this application also discloses the following arrangement. That is, an arrangement for converging surface acoustic waves is adopted, and the width of surface acoustic waves input to the output IDT is set to be larger than at least the crossing width of electrode fingers, nearest to the input IDT, of those of the output IDT, so that some surface acoustic waves propagate along non-crossing portions of the electrode fingers, on the input IDT side, of those of the output IDT. With this arrangement, the influence of the crossing portions of the electrode fingers, closer to the input IDT, on the surface acoustic waves input to the crossing portions of the electrode fingers, farther from the input IDT, can be relaxed.

Abstract: A transversal SAW filter capable of reducing the effect of diffraction to achieve desired transmission characteristics without increasing the size of the surface wave substrate includes first and second IDTs arranged on a surface wave substrate so as to be spaced from each other by a predetermined distance. The first IDT has a plurality of impulses and the impulse in the 2n-th (n is a natural number) position counted from an impulse located at a maximum cross length in the 0-th position toward the second IDT has a magnitude which is equal to a magnitude of the (2n-1)-th impulse multiplied by -1.0.

Abstract: A free edge reflective-type surface wave resonator for reflecting SH-type surface waves between two confronting free edges of a piezoelectric substrate includes a piezoelectric substrate having two confronting free edges and an interdigital transducer having a plurality of electrode fingers which are weighted by a cross width weighting method or an electrode thinning method. The weighting of the electrode fingers is performed so that an attenuation pole of a main lobe of the weighted IDT is located outside of a frequency of an attenuation pole of a normal non-weighted IDT which has the same number of electrode finger pairs as the weighted IDT. The weighting of the electrodes is such that the main lobe of the weighted IDT and a plurality of resonance characteristics determined by the attenuation poles of the normal unweighted IDT are obtained.

Abstract: A full duplex radio (10) having improved properties is obtained by using asymmetric surface acoustic wave (SAW) filters (70, 92, 100, 100', 112). The filters (70, 92, 100, 100', 112) are composed of series (50.sub.1, 50.sub.1 ') and parallel (50.sub.2, 50.sub.2 ') coupled SAW resonators. Asymmetry is obtained by covering either of the series (50.sub.1, 50.sub.1 ') or parallel (50.sub.2, 50.sub.2 ') resonators of each filter (70, 92, 100, 100', 112) with a dielectric layer (96) to increase the SAW coupling coefficient (Cs, Cp) of the covered resonators (50.sub.1 ', 50.sub.2 ') relative to the uncovered resonators (50.sub.1, 50.sub.2). The filters (70, 92, 100, 100', 112) are desirably in pairs arranged with mirror image frequency asymmetry such that the steeper skirts (87, 79) of the frequency response (91', 91") are adjacent. Greater pass-band bandwidths (77, 77', 77") can be obtained without adverse affect on transmitter and receiver isolation.

Abstract: A SAW filter comprising a group of N tracks, where N is an odd integer greater than 2, and including an input interdigitated transducer (IDT) spaced apart from an output IDT. The respective tracks are selectable to have different effective electro-acoustic lengths such that surface acoustic waves launched from respective input IDTs undergo at least one reflection at corresponding output IDTs and at least one reflection from the respective input IDTs prior to generating coherent signals from respective output IDTs. The different effective electro-acoustic lengths may be substantially provided by there being different physical separation between input and output IDTs of respective tracks, or by IDTs of respective tracks having different polarity connections of electrodes or different amounts of material deposited in respective tracks between the input and output IDTs.

Abstract: A filter operating with acoustical surface waves includes two acoustical paths each having one unidirectional input transducer, one unidirectional output transducer, and a reflector structure disposed between the input and output transducers. The input transducers in the acoustical paths are structurally identical, the output transducers in the acoustical paths are structurally identical, and the input and output transducers in each of the acoustical paths are spaced apart by the same distance. One of the input transducers or the output transducers are electrically connected in phase opposition, and the other of the input transducers or the output transducers are electrically connected in phase. The reflector structures in the two acoustical paths have substantially the same reflection performance, the reflector structure in one of the acoustical paths is shorter than the reflector structure in the other of the acoustical paths by .lambda.

Abstract: A full duplex radio (10) having improved properties obtained by using surface acoustic wave (SAW) filters (92, 100, 100') having asymmetric frequency responses (76', 76", 140). The filters (92, 100, 100') are composed of series (50.sub.1, 50.sub.1 ') and parallel (50.sub.2, 50.sub.2 ') coupled SAW resonators. Asymmetry is obtained by altering the metallization thickness of either of the series (50.sub.1, 50.sub.1 ') or parallel (50.sub.2, 50.sub.2 ') resonators of each filter (92, 100, 100') to increase or decrease the SAW coupling coefficient of some of the resonators (50.sub.1, 50.sub.1 ', 50.sub.2, 50.sub.2 ') relative to the remainder of the resonators (50.sub.1, 50.sub.1 ', 50.sub.2, 50.sub.2 '). The filters (92, 100, 100') are desirably in pairs arranged with mirror image frequency asymmetry such that the steeper skirts (93, 95) of the frequency responses (76', 76", 140) are adjacent. Greater passband bandwidths (91', 91") can be obtained without adverse affect on transmitter and receiver isolation.

Abstract: A weighted reflector which has relatively low sensitivity to production-dependent tolerances. The reflector is based on the principle of an open-short reflector which has length-weighted reflector strips.

Abstract: A filter operating with acoustical harmonic waves includes at least one resonator being formed of an interdigital converter and reflectors. An electrical resistor is connected parallel to at least one filter component for protecting against electrostatic discharge from contact with electrostatically charged parts. The electrical resistor is integrated with one or both of the reflectors of the resonator.

Abstract: In order to effectively suppress a spurious response appearing at a lower side of a passband of a two-pole type bandpass filter, an overlapped electrode portion of each of interdigital transducers is configured so as to reduce an influence of one standing wave resulting one of three longitudinal resonance modes.

Abstract: A surface acoustic wave filter includes a piezoelectric substrate. On the surface of the piezoelectric substrate, an input transducer and an output transducer are formed at a predetermined interval. The input transducer and the output transducer are respectively formed with a pair of IDT (interdigital electrode transducers) disposed oppositely. A pair of IDT which construct at least one transducer of the input transducer and the output transducer are formed on the piezoelectric substrate in the following manner. That is, a first impulse train is determined by inverse Fourier transformation of desired transmission characteristics (where, center frequency is f.sub.0 and surface wavelength is .sub.

Abstract: A surface acoustic wave interdigital transducer of a filter includes split finger electrodes in pairs. To achieve a desired transfer characteristic that is either symmetrical or deliberately asymmetrical, a number of the pairs of the split finger electrodes are replaced by single finger electrodes.

Abstract: The invention relates to a SAW filter comprising a first and second pair of substantially equivalent SAW transducers electrically coupled to form a bridge circuit. Each of the transducers of the first pair of transducers have a center frequency which is slightly different to the center frequency of each of the transducers of the second pair of transducers. The product of the static capacitance of the first pair is the same as the product of the static capacitance of the second pair. In use, signals input to the filter and having a frequency within the passband of the filter are coupled to the output of the bridge circuit via one or other or both arms of the bridge, as in normal bridge circuit operation. However, out of band signals are blocked since all the transducers are equivalent capacitors having the same capacitance (i.e., static capacitance). Thus, transmission of out of band signals through the filter is inhibited by the balanced nature of the bridge.

Abstract: An electronic apparatus for receiving and filtering high frequency waves comprises a sequence of T electro-acoustic transducers each having multiple interdigital electrode fingers and a centerline located equidistant between its outermost electrode fingers. For a centerline-to-centerline distance of a first adjacent pair of transducers D.sub.1, and centerline-to-centerline distances of other adjacent pairs of transducers D.sub.2 to D.sub.T-1, then at least some of D.sub.2 to D.sub.T-1 differ from D.sub.1 by a non-integral number of wavelengths. The transducer array is symmetrical about a centerline and the number of fingers in each transducer varies, with an input or output transducer closer to either end of the sequence having more fingers than a like kind transducer nearer the center.

Abstract: A novel surface acoustic wave device that includes a multiple track transducer having a first portion for generating a transverse symmetrical mode acoustic wave and a second portion for receiving only a transverse nonsymmetrical surface acoustic wave such that substantially no direct coupling occurs between the first and second portions of the multiple track transducer and where reflector gratings are mode changing gratings that reflect the transverse symmetrical wave as a transverse nonsymmetrical wave that is received by the second portion of the multiple track transducer thereby substantially reducing undesired in-band surface acoustic wave transducer responses as well as spurious bulk responses and allowing a narrow passband to be obtained with a short structure when compared with the prior art structures.

Abstract: An interdigital transducer is weighted by means of finger-width weighting for surface wave arrangements. The weighting is produced by differing finger widths in conjunction with constant widths of finger gaps. Constant finger overlap length is preferably provided.

Abstract: A digitally controlled programmable transversal filter (DCPTF) employing a lithium niobate surface acoustic wave (SAW) delay line and two large scale integration (LSI) gallium arsenide integrated circuits to digitally control the magnitude and sign of the 32 tap weights from the delay line. The DCPTF results in a significant reduction in size over the prior art with little sacrifice in performance. The DCPTF is completely programmable and is constrained only by the bandwidth and the number of taps.

Abstract: A multi-bandwidth SAW filter for an input signal is provided which includes an SAW transducer having a selectable length corresponding to the desired bandwidth of the filter. The SAW filter is responsive to a control signal which corresponds to a selectable bandwidth of the filter to present the input signal to an appropriately lengthed SAW transducer.

Abstract: A filterbank using surface acoustic wave technology and having a plurality of filters. Each filter has an input transducer and an output transducer. The input transducers are connected in parallel to a single matching circuit. The output transducers each have a separate matching circuit. The transducers are formed by a thin film of aluminum pattern on a piezoelectric substrate. The input transducers all have the same structure and the output transducers all have the same structure, though that structure is different from the input transducers. The only difference between the transducers of each filter is the location of electrode breaks for each electrode. A weighting function of the transducers is scaled and biased to provide a constant impedance across the bandwidth of the filterbank and to equalize the output amplitudes and capacitances of the output transducers. This produces a continuous level response across the bandwidth of the filterbank.

Abstract: A surface-wave-type reflective delay line includes an input/output interdigital converter, and a plurality of surface wave reflectors. The surface wave reflectors are disposed at positions corresponding to an order of magnitude of half of a particular desired transit time of a surface wave between the input/output interdigital converter and an applicable surface wave reflector and back. At least some of the surface wave reflectors are each shifted by a mathematically random value out of the positions corresponding to half the particular desired transit time.

Abstract: In a surface acoustic wave filter having a piezoelectric substrate (11) on which an input interdigital transducer (12) and first and second output interdigital transducers (15, 16) are disposed with the output interdigital transducers opposed to the input interdigital transducer apart therefrom, a first output port (17) for the first output interdigital transducer is directly connected to a filter output terminal (20). Between the filter output terminal and a second output port (18) for the second output interdigital transducer, a switch (22) selectively connects the second output port to the filter output terminal to make the filter output terminal produce a filtered output signal which is equal to a sum of at least one of output electric signals supplied from the first and the second output ports. The switch may be a PIN diode or a mechanical switch.

Abstract: A low loss microwave surface acoustic wave filter, comprising input (2, 3) and output (4, 5) transducers, acoustically associated with coupling transducers (6, 7).The relative positions of the transducers 2 to 7) and of their O reflectors are chosen, having regard to the weightings of the coupling transducers (6, 7) in order to obtain the desired transfer function for this filter.

Abstract: A low-loss, wideband SAW transducer operating on a piezoelectric substrate with a longitudinal axis of propagation. The SAW transducer has a plurality of tapered interdigital electrodes that are mounted on the substrate transverse to the propagation axis. The electrode widths and spacings are constant along lines parallel to the axis and are tapered in the direction transverse to the axis. An acoustic-wave reflector having a plurality of elongated, tapered discontinuities or reflective fingers is located on the substrate adjacent one end of the transducer. The spacings and widths of the reflective fingers are similar to those of the electrodes, i.e., the finger widths and spacings are tapered in the direction transverse to the axis and are constant along lines parallel to the axis. Because of the taper, the fingers reflect wideband acoustic waves parallel to the axis.

Abstract: A surface elastic wave filter includes a plurality of input interdigital transducers for receiving a high-frequency input signal, and a plurality of output inter-digital transducers for producing an output signal derived from the input signal and having predetermined frequency characteristics. Each of the input and output interdigital transducers having a pair of confronting connectors for receiving the input signal and extracting the output signal, respectively, and a pair of groups of interdigitating electrode fingers extending from the connectors. The input and/or output interdigital transducers include finger-withdrawn interdigital transducers with electrode fingers selectively withdrawn in different positions. With such withdrawal weighting, the interdigital transducers have different sidelobe characteristics, i.e., frequency blocking characteristics, so that the surface elastic wave filter operates with a greater sidelobe suppression.

Abstract: A dispersive surface acoustic wave delay line device consists of a plurality of delay line elements which are disposed parallely so that a propagating path of a delay line element is not co-owned by the other delay line elements, in order to reduce secondary effects caused by electrode fingers.

Abstract: A plurality of interdigital transducers (IDTs) of a surface acoustic wave bandpass filter, each of which has a plurality of electrode fingers arranged in a direction perpendicular to a propagating direction of surface acoustic wave, are connected alternatively to an input terminal and an output terminal of said filter. The IDTs are different in number of electrode fingers and in average value of inter-finger distance from each other and distance between adjacent IDTs are different. At least one of the outermost IDTs has a minimum number of electrode fingers and a maximum average value of inter-finger distance, compared with those of other IDTs.

Abstract: A surface wave filter has two tracks formed by interdigital transducers and coupling transducers on a substrate, wherein center-to-center path distances are defined between the transducers of a track. The relative center-to-center distances between the transducers comply with a particular relationship that depends on wavelength of the surface wave in the substrate. Correction factors are also applied to the relative relationships, which depend on whether the transducers defining each center-to-center distance are of the same type (symmetric or asymmetric) or whether one transducer is on one type and the other is of the other type within a track.

Abstract: A SAW (surface acoustic wave) device tapped delay line comprises a continuous pattern of bifurcated inter-digital fingers having a constant pitch of .lambda./2 and forming a first IDT (inter-digital transducer), a plurality of second IDTs, substantially identical to one another and arranged with a predetermined pitch P for consecutively receiving a SAW propagated from the first IDT with respective propagation delays, and grounded dummy fingers in regions between adjacent IDTs. The first IDT is apodized in accordance with a Hermitian response to provide it with a pass band centered at a first frequency, and .lambda. is the wavelength of a SAW at a second frequency different from the first frequency and within the pass band. P is an integral multiple of .lambda./2, so that there is a constant finger periodicity throughout the SAW device whereby reflections between the second IDTs are avoided.

Abstract: At least one electro-acoustic transducer of a first surface acoustic wave device and acousto-electric transducers of a second surface acoustic wave device are arranged symmetrically to the first surface acoustic wave device about a line parallel to a propagating direction of surface acoustic wave and is phase-weighted differently from the remaining transducers having common phase-weighting, to improve an attenuation for stop frequency.

Abstract: In a wide band surface acoustic wave filter having a multilayered structure, in which an elastic substrate and a piezoelectric thin film are combined, transducers are so constructed that the period of electrodes thereof varies in the direction perpendicular to the propagation direction of the surface acoustic wave.

Abstract: Novel GSPUDT structures are disclosed with 3/8.lambda. and 5/8.lambda. group sampling with 3.lambda. and 5.lambda. group responses. Reflectionless or unidirectional transducers, and broadband notch elements are all implementable with these new configurations. These GSPUDTs are similar to the conventional SPUDT and the "Hopscotch" transducers in that single level versions are reflectionless. Unidirectional characteristics are only obtainable from a two-level structure.

Abstract: A surface-acoustic-wave device includes at least two surface-acoustic-wave transducers made from metal and disposed along a surface acoustic wave propagating direction on a piezoelectric substrate. At least one of the transducers has a different bandwidth, and a convolver output gate electrode in the form a rectangular metal layer is provided between the transducer having the different bandwidth and another transducer.

Abstract: A digital-to-analog converter for an acoustic charge transport (ACT) device that permits an ACT device to directly accept digital inputs. The digital-to-analog converter includes a plurality of digital-to-analog converter circuits that convert respective groups of digital information applied to the ACT device to corresponding analog voltages. The corresponding analog voltages are applied to respective input contacts that are isolated by charge barriers formed in a channel region of the ACT device. Each of the input contacts generates a charge packet having a charge magnitude corresponding to a numerical value of an input group of the applied digital information. The charge packets generated by each of the input contacts coalesces into a collective charge packet which then travels through the ACT device.

Abstract: A filter for suppressing surface to surface interference for a satellite communication receiver which utilizes a surface acoustic wave (SAW) element. The SAW filter comprises two inter-digital transducers for input and one inter-digital transducer for output, all three transducers are constructed and arranged on a piezoelectric substrate. The widths of the adjacent portions of electrodes and the spaces between the electrodes of the input inter-digital transducers are adjusted based upon the principle of a transversal filter so that the frequency responses of the input interdigital transducers have a predetermined band width and a reduced gain of a frequency range where an interference signal exists respectively.

Abstract: A method for the correction of surface wave devices consists of measuring the transfer function of an entirely finished surface wave device and then designing a surface wave corrective filter, the transfer function of which enables the correction of the transfer function of the preceding device. The method makes it possible to correct, in particular, RAC type dispersive filters.

Abstract: In order to obtain greater flexibility in the design of a linear-phase electrical filter comprising an acoustic surface wave device including a pair of apodized transducers intercoupled by means of a multi-strip coupler, for example to obtain more equal contributions by the two transducers to the gain versus frequency characteristic of the filter, the transducers are apodized differently but have mutually complementary non-linear phase characteristics. First a transfer characteristic corresponding to the collective contribution to the desired overall gain versus frequency characteristic of the filter, is derived in terms of the z-transform and the roots or the reciprocals of the roots of the resulting polynomial in z.sup.-1 are found. These roots or reciprocals are then divided into two groups so that at least one pair of non-identical roots or reciprocals which have equal ratios between their real and imaginary parts and the product of the moduli of which is equal to unity are included one in each group.

Abstract: A high frequency narrow-band pass multi-mode filter in constructed in such manner that SAW of SSBW resonators are closely disposed to each other on a single piezoelectric substrate to generate different vibration modes of different resonance frequencies, conditions that the resonators are acoustically coupled to each other to cause these vibration modes, are experimentally found, and the above conditions are satisfied by the filter.In order to reduce the ohmic loss of a very narrow common bus bar, the number of strip pairs of electrode in both interdigital transducers (hereinafter referred to as IDT) is minimized and instead reflectors are provided on the both sides TDTs to compensate for the reduction of its Q value. A part of the bus bar for the IDT electrodes is formed integral with some or all of gratings of the reflectors, whereby the connecting positions of the grating electrodes with respect to lead terminals can be positioned with a high freedom.