Abstract: A digital log converter is provided which includes a comparator (10) and a log signal generator (20). Upon receiving a digital input signal (12), the comparator (10) determines whether an upper bit-slice of the input signal (12) equals zero. If the upper bit-slice is zero, the log signal generator (20) subtracts an offset from at least one parameter to generate a log signal (16); otherwise, the log signal generator (20) interpolates the at least one parameter and a lower bit-slice of the input signal (12) to generate the log signal (16).

Abstract: A video signal is converted into compressed frame signals, each comprising a coefficient signal of block coefficient signals for each frame in a video image. Each of the block coefficient signals represents the pixels in a pixel map block (420) with the coefficients in a hybrid polynomial. The hybrid polynomial contains discrete cosine terms, a constant term separated from the discrete cosine terms, and polynomial terms extracted from the discrete cosine terms. Each block coefficient signal contains a background component representing a coefficient of the constant term, a linear component representing the coefficients of the polynomial terms, and a nonlinear component representing the coefficients of the discrete cosine terms.

Abstract: A circuit and method for computing an exponential signal x.sup.g is provided. The circuit includes a logarithm converter which converts an input signal to binary word that represents the logarithm of an input signal x. A first shift register shifts the binary word in a bit-wise fashion to produce a first intermediate value; while a second shift register shifts the binary word in a bit-wise fashion to produce a second intermediate value. The shift registers may be implemented using multiplexers. The shifting operations are equivalent to multiplying the intermediate values by a factor which is a power of two. The first intermediate value is either added to or subtracted from the second intermediate value to produce a combined value. An inverse-logarithm converter converts the combined value to the exponential signal.