Title :
Analysis of multirate sigma-delta modulators
Author_Institution :
Wireless Design Dept., Motorola Semicond., Toulouse, France
Abstract :
The theoretical basis for the linear analysis of multirate Σ-Δ modulators is presented. Polyphase decomposition is used to analyze the system and derive its transfer functions. Multiple quantization noise sources are introduced to make the polyphase decomposition possible. It is shown that a proper value for the quantizer gain in a linear analysis is essential because a unity gain approximation leads to unstable transfer functions while the real system is stable
Keywords :
frequency-domain analysis; integrating circuits; modulators; quantisation (signal); sigma-delta modulation; transfer functions; closed-loop architecture; frequency-domain analysis; linear analysis; multiple quantization noise sources; multirate integrators; multirate sigma-delta modulators; polyphase decomposition; power spectral density; quantizer gain; transfer functions; Additive noise; Analog circuits; Delta-sigma modulation; Finite impulse response filter; Gain; Quantization; Semiconductor device noise; Signal design; Signal processing; Transfer functions;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921889