Abstract: Techniques, systems and methods are provided for performing convolution operations on real-valued input data using implicit zero-padding for dealiasing. A set of real-valued input data intended for convolution is embedded into a complex array, reorganizing the real-valued input into a format amenable to fast Fourier transform (FFT) processing. FFT operations are performed on the complex array to generate intermediate frequency-domain results. Pointwise operations on these intermediate results are then performed to integrate the intermediate results in a format that unifies the earlier-separated real-valued input data. The convolution output results matrix is extracted via inverse FFT operations performed on the results of these pointwise operations.

Abstract: A transfer trolley, to lift loads but particularly adapted to pick up a patient from a bet using a plurality of horizontally extending tines. Each tine consists of a tube having one end fixed in a position and a free open end. A sleeve surrounds the tube and is withdrawn into the interior of the tubes. The tines are then located next to a patient and a fluid under pressure is inserted into the sleeve, causing the sleeve to emerge from the end of the tube and to insinuate itself under the patient lifting the patient in the process. As the patient is lifted the trolley is moved to place the tube under the patient and to provide support while the patient is moved. The trolley can be adapted to move patients from beds or chairs.