I have a signal X(n) of length 24. But I want to find 1024 point FFT of this signal. I can do this by padding 1000 0s in x(n). But this requires huge memory which actually will be having only 24 valid data points.
Is there any way I can avoid this extra padding and yet be able to perform FFT. To be very specifica I am using CUFFT for finding FFT on the GPU. The padding 1000 0s means I have to allocate this extra memory on the GPU and also do copying operations from GPU to CPU and CPU to GPU etc.