A note on the bounds on autocorrelation functions (Corresp.)

Recently, bounds were shown to exist on the transient response of networks whose system functions were appropriately restricted. Since the impulse response and real part, of the system function are Fourier cosine transforms of each other and the autocorrelation function and power spectrum for stationary processes are similarly related, many of these results may be applied directly to the autocorrelation. This analogy depends on the fact that. the power spectrum is a nonnegative function. The results will be stated without proof, since these proofs appear elsewhere. It is merely a matter of substituting the appropriate variables for those appearing previously in the papers on transient response.