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

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

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.

اللغة الأصليةإنجليزيّة أمريكيّة
رقم المقال8537788
الصفحات (من إلى)1153-1164
عدد الصفحات12
دوريةIEEE Transactions on Information Theory
مستوى الصوت65
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - فبراير 2019

All Science Journal Classification (ASJC) codes

  • !!Information Systems
  • !!Computer Science Applications
  • !!Library and Information Sciences

بصمة

أدرس بدقة موضوعات البحث “Performance analysis and optimal filter design for sigma-delta modulation via duality with DPCM'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا