By Artur Krukowski
This booklet offers the research of distinctive kind of IIR polyphase clear out buildings mixed with frequency transformation suggestions, and their software for customized fixed-point implementation. that includes a wealth of layout and research concepts, it contains adequate introductory fabric to let non-experts to appreciate the themes.
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Additional info for DSP system design : complexity reduced IIR filter implementation for practical applications
The term practically means the oversampling ratio less or equal (higher ones are seldom used). First-order modulators are therefore not attractive for high-resolution applications, unless very low signal bandwidth is required. A further disadvantage of first order systems is the fact that the quantization noise from the first order modulator is highly correlated with the input signal . Their main merit is an absolute stability over the full analog input range. There are some techniques, which increase the resolution of the modulators, like a multi-bit A/D and D/A converters in the loop and an appropriate cascade of first-order modulators.
Therefore Nyquist converters require to be preceded by a continuoustime analog Anti-Aliasing (AA) filters which band-limits the input signal to 2B. As can be seen from Figure 1-30 (a) the AA filter is clearly the first analog processing element of the conversion chain. The AA filter is required to have simultaneously very sharp transition band, small passband ripples and high stopband attenuation. Achieving and maintaining stringent requirements for analog AA filter even for moderate rate and middle range of resolution (13-16 bits) is very difficult, if not impossible.
Polyphase IIR Filters 25 In such a case the order of the overall filter would increase considerably and become impractical for implementation, hence a different approach is suggested that can also be used for the number of paths between three and five (see above). The method is based on the cascaded structure of halfband filters transformed with frequency transformation, as shown below. 2 Cascading polyphase halfband LPF transformed by The idea of cascaded polyphase lowpass filters achieving spike-free stopband, having a baseband equal the integer-fraction of Nyquist frequency is based on the idea of converting a prototype lowpass filter into a multiband filter using a frequency transformation.
DSP system design : complexity reduced IIR filter implementation for practical applications by Artur Krukowski