A signal processor performs a signal transform of a signal, and comprises a signal demodulator for demodulating said signal by a first chirp signal having a first chirp rate to obtain a reduced bandwidth chirped signal, a filter for filtering the reduced bandwidth chirped signal and delaying the reduced bandwidth chirped signal by an interval proportional to a reciprocal of said first chirp rate, a signal modulator for modulating said filtered signal by a second chirp signal having a second chirp rate to obtain an increased bandwidth chirped signal and to provide a time domain output spectrum of said signal, and wherein each of said first chirp signal and said second chirp signal is a complex signal representing a linear frequency modulated chirp.