Performance analysis and optimal filter design for sigma-delta modulation via duality with DPCM

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים

תקציר

Sampling above the Nyquist rate is at the heart of sigma-delta modulation, where the increase in sampling rate is translated to a reduction in the overall (mean-squared-error) reconstruction distortion. This is attained by using a feedback filter at the encoder, in conjunction with a low-pass filter at the decoder. The goal of this paper is to characterize the optimal trade-off between the per-sample quantization rate and the resulting mean-squared-error distortion under various restrictions on the feedback filter. To this end, we establish a duality relation between the performance of sigma-delta modulation and the performance of differential pulse-code modulation when applied to (discrete-time) band-limited inputs. As the optimal trade-off for the latter scheme is fully understood, the full characterization for sigma-delta modulation, as well as the optimal feedback filters, immediately follows.

שפה מקוריתאנגלית אמריקאית
מספר המאמר8537788
עמודים (מ-עד)1153-1164
מספר עמודים12
כתב עתIEEE Transactions on Information Theory
כרך65
מספר גיליון2
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - פבר׳ 2019

ASJC Scopus subject areas

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