Digital Signal Processing IIR Filter Design

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Questions and Answers

Which of the following is NOT an advantage of using IIR filters compared to FIR filters?

  • They have a linear phase response. (correct)
  • They can achieve a desired frequency response with fewer coefficients.
  • They can have a steeper transition band.
  • They are generally easier to implement.

Which of the following is a method used to design IIR filters from analog filters?

  • Frequency Sampling
  • Windowing
  • Bilinear Transformation (correct)
  • Impulse Invariance (correct)

What is the primary concern related to 'overflow' in fixed-point digital signal processing?

  • Distortion of the signal due to non-linear phase response.
  • Introduction of noise due to quantization of coefficients.
  • Loss of signal amplitude due to limited dynamic range.
  • Unstable behavior leading to oscillations in the output. (correct)

Which of the following is NOT a typical realization structure for IIR filters?

<p>Transversal (D)</p> Signup and view all the answers

In the context of finite word length effects, what is the primary difference between 'truncation' and 'rounding'?

<p>Rounding involves discarding the least significant bits, while truncation involves approximating the value to the closest representable value. (B)</p> Signup and view all the answers

Which of the following is NOT a parametric method for power spectral density estimation?

<p>Bartlett Method (B), Welch Method (C)</p> Signup and view all the answers

What is the primary function of a 'decimation' filter in multirate DSP?

<p>Reducing the sampling rate of a signal. (A)</p> Signup and view all the answers

Which of the following is a characteristic of a Quadrature Mirror Filter (QMF) used in subband coding?

<p>It provides a perfect reconstruction of the original signal. (C)</p> Signup and view all the answers

Flashcards

IIR Filters

Infinite Impulse Response filters used in digital signal processing with feedback loops.

FIR Filters

Finite Impulse Response filters that do not use feedback, leading to a limited response.

Impulse Invariance

A method for designing IIR filters from analog filters by preserving the impulse response.

Quantization Noise

Error caused by rounding off of continuous signals during digital representation.

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Power Spectral Density (PSD)

A measure of the power of a signal over frequency, used for analyzing random signals.

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Multirate Signal Processing

Technique involving the processing of signals at different sampling rates.

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Truncation Error

Error introduced when digits are removed from a number, impacting precision during calculations.

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Windowing Technique

Method used in FIR filter design that applies a window function to reduce signal discontinuities.

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Study Notes

Course Objective

  • Introduce digital signal processing (DSP) advantages, theory, and applications of IIR and FIR filters
  • Explain various signal errors during DSP
  • Introduce power spectral density estimation for random signals
  • Explain multirate sampling and DSP processor architecture

Course Outcome

  • Apply mathematical, scientific, and engineering knowledge to understand DSP advantages and IIR/FIR filters
  • Identify, formulate, and solve problems related to different signal errors during DSP
  • Apply, and use calculation methods in power spectral density estimation for random signals
  • Understand multirate sampling and DSP processor architecture

Unit I: IIR Filter Design

  • Introduce IIR filters, their advantages and disadvantages
  • Discuss IIR filter design from analog Butterworth and Chebyshev filters
  • Describe impulse invariance and bilinear transformation design methods
  • Explain different IIR filter realizations (Direct form I, II, Cascade, Parallel, and Ladder)

Unit II: FIR Filter Design

  • Introduce FIR filters
  • Explain symmetric and asymmetric FIR filters
  • Describe FIR filter design using frequency sampling techniques
  • Explain FIR filter design using windowing technique
  • Discuss FIR filter realizations (Transversal, Linear Phase, and Polyphase)

Unit III: Finite Word Length Effects

  • Explain fixed-point and binary floating-point number representations
  • Discuss truncation and rounding errors during quantization
  • Describe noise, quantization noise power, input quantization error
  • Describe coefficient quantization error and product quantization error
  • Explain how to use scaling for prevention of overflow and limit cycle oscillations

Unit IV: Spectrum Estimation and Multirate Signal Processing

  • Introduce nonparametric and parametric spectrum estimation methods
  • Explain Bartlett and Welch methods, AR, MA, and ARMA models
  • Explain principles of multirate DSP
  • Describe decimation, interpolation, and subband coding of speech signals using QMF filters

Unit V: Digital Signal Processors

  • Introduce programmable DSP processors (Von Neumann, Harvard, and VLIW architectures)
  • Describe the MAC unit, pipelining, special addressing modes
  • Explain on-chip peripherals, RISC and CISC architectures of TMS320C50 and TMS320C6X processors.

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