Huffman, David A. The generation of impulse-equivalent pulse trains. (English) Zbl 0137.13702 IRE Trans. Inf. Theory 8, No. 5, S10-S16 (1962). Author’s summary: “The necessary and sufficient conditions for a function to be the autocorrelation function of a waveform consisting of a finite length train of pulses of various amplitudes is derived. The number of pulse trains having a given realizable autocorrelation function is determined. An “impulse-equivalent” pulse train is defined as one that yields, as closely as is theoretically possible, the same autocorrelation function that a single pulse gives. It is shown that impulse-equivalent pulse sequences exist for all lengths; the number of classes of these sequences is exponentially related to their length. It is demonstrated that all impulse-equivalent pulse trains can be generated by exciting a linear digital filter with two input pulses that correspond in time to the initiation and to the termination of the desired output sequence.” Reviewer: József Dénes (Budapest) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) 93E10 Estimation and detection in stochastic control theory Keywords:autocorrelation function of a waveform; finite length train of pulses of various amplitudes PDF BibTeX XML Cite \textit{D. A. Huffman}, IRE Trans. Inf. Theory 8, 10--16 (1962; Zbl 0137.13702) Full Text: DOI