DSP System Design: Complexity Reduced IIR Filter Implementation for Practical Applications

| ?(k) | Delta sequence, equal to 1 for k=0 and zero for k ?0 |
| n(k) | Noise |
| u(k) | Step function |
| e(k) | Error signal |
| w i(k) | Update weight coefficient |
| z ?1 | Unit delay operator |
| H(z) | Transfer function of the discrete-time filter |
| A(z) | Transfer function of an allpass filter |
| H bp(z) | Z transfer function of the bandpass filter |
| H notch(z) | Z transfer function of the notch filter |
| ? | Normalized frequency ?=f/f s. |
| FFT | Fast Fourier Transform |
| FST | Fourier Summation Transform |
| DFT | Discrete Fourier Transform |
| dB | Decibel |
| SNR | Signal-to-Noise Ratio |
| rms | Root Mean-Square |
| exp | Exponential function ex |
| FIR | Finite Impulse Response |
| IIR | Infinite Impulse Response |
| LPF | LowPass Filter |
| HPF | HighPass Filter |
| BPF | BandPass Filter |
| LMS | Least-Mean-Square |
| PZP | Pole-Zero Pattern |
| VLSI | Very Large Scale Integration |
| VHSIC | Very High Speed Integrated Circuit |
| VHDL | VHSIC Hardware Description Language |
| HTML | Hyper Text Mark-up Language |
| M | Lowpass oversampling ratio |
| R | Bandpass oversampling ratio |
| L | Lowpass interpolation ratio |
| MSB | Most Significant Bit |
| LSB | Least Significant Bit |
| A/D | Analogue-to-Digital |
| ADC | Analogue-to-Digital Converter |
| DAC | Digital-to-Analogue Converter |
| SRD | Sample Rate Decreaser |
| SRI | Sample Rate Increaser |
| MIP | Minimum Phase filter |
| MAP | Maximum Phase filter |
| LPH | Linear Phase |
| MOS | Metal Oxide Semiconductor technology |
| COMB | Filter described by Nth-order difference equation. |
| MAVR | Moving A Verage Filter. |
| SLINK | Sink function defined for discrete signals |
| PCM | Pulse Code Modulation |
| PDM | Pulse Density Modulation |
| AM | Amplitude Modulation |
| FM | Frequency Modulation |
| AGDP | Arbitrary Group Delay Filter |
| f s | Sampling frequency |
| LLFT | Lowpass-to-Lowpass Frequency Transformation |
| AA | Anti-Aliasing |
| ?? | Sigma-Delta |
| PC | Personal Computer |
| TB | Transition Bandwidth |