Time, frequency, sequency, and their uncertainty relations (Corresp.)

We study the form assumed by the classical time-frequency uncertainty relations in discrete as well as nontrigonometric spectral analysis. In particular we find that if an -sample time signal is to contain a fraction of its energy in consecutive samples, then the minimum number of frequency components containing that same energy fraction must be greater than . It is also found that the discrete Walsh transform permits greater energy concentration (less uncertainty) than the discrete Fourier transform.