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| Section for Cognitive Systems |
| DTU Compute |
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02451 Reading material for lectures
Abbreviations
P&M: Proakis and Manolakis, Digital Signal Processing, 4th Edition, Hardcover, ISBN 0-13-187374-1 or paperback version ISBN 0-13-228731-5, 2007.
CFPS: Jan Larsen: Correlation Functions and Power Spectra, 8th edition,
DTU Compute, 2009.
Digital Signals with Finite Energy and Finite Power
Reading
P&M Chapter 1.1-1.4.7
P&M , Chapter 4.1
Notes
The lecture concerns fundamental definitions of signals and frequency
representation.
Discrete signals and systems
Reading
P&M , Chapter 2.1-2.3.7
P&M , Chapter 2.5-2.5.2
P&M , Chapter 3.3-3.3.3 and 3.5.3-3.5.4
Notes
Basic properties of discrete time systems. Review of the z-transform.
Frequency analysis of signals and systems
Reading
P&M , 4.1-4.2.67
P&M , 5.1.4-5.2.2
P&M , 5.4-5.4.6 (5.3-5.3.6 Paperback version)
P&M , 9.1-9.2.1
P&M , 9.3-9.3.1
In particular pay attention to:
P&M , Figure 4.3.1, p. 270 (Paperback p. 254)
P&M , Table 4.4, Figure 4.4.2, p. 276-277 (Paperback p. 260-261)
P&M , Table 4.5 and 4.6, pp. 290-291 (Paperback p. 274-275)
Notes
Review of frequency analysis tools. Basic filter types and fundamentals of
system inversion/deconvolution.
Sampling and Reconstruction
Reading
P&M , Chapter 1.4.4-1.4.7
P&M , Chapter 6.1-6.4.2
In particular pay attention to:
P&M , Figure 6.1.5, p. 391 (Paperback p. 361)
Notes
The lecture concerns sampling and reconstruction of signals.
Discrete Fourier Transform and FFT
Reading
P&M , Ch. 7.1
P&M , Ch. 7.2.2
P&M , Ch. 7.3-7.4
P&M , Ch. 8.1-8.1.1
P&M , Ch. 8.1.3
P&M , Ch. 8.2
In particular pay attention to:
P&M , Table 7.1,7.2 p. 470,480 (Paperback p. 437,447)
Notes
Properties and applications of the discrete Fourier transform.
The Fast Fourier Transform (FFT).
Multirate signal processing
Reading
In particular pay attention to:
P&M , Figure 11.4.2, p. 763 (Paperback p. 717)
Notes
Interpolation and decimation.
Stochastic Signals and Correlation Functions
Reading
P&M , Ch. 12.1-12.2
CFPS, p. 1-25
Notes
Definitions of correlation functions and power spectra. Ergodic signals,
estimates and sampling. Mixing random and deterministic signals.
Power Spectrum Estimation
Reading
P&M , Ch. 14.1.2-14.2.2 (PDF file available if you have Paperback version)
P&M , Ch. 14.2.4 (PDF file available if you have Paperback version)
Notes
Methods for nonparametric power spectral analysis using FFT.
The Wiener Filter
Reading
Notes
Normal equations for Wiener Filter. Example on the estimation
of signal in noise.
Adaptive Filters
Reading
P&M , Ch. 13.1-13.3.2
P&M , Ch. 13.3.4
Notes
Introduction to the adaptive FIR filter. The LMS and RLS filter.
