Signal Processing and Filtering

This page contains a scanned and OCR'd copy of the syllabus produced by Bath University for their students, 1982 intake.

(40 hours)

Discrete signals: review of DFT properties; random signals, correlation functions and power spectra, system input-output relationships, application to signal detection; spectral analysis -sample autocorrelation function, periodogram, time windows, spectral smoothing, bias, variance of estimates.

Filtering: review of transfer function properties, zeros of transmission; comparison of filter approximations - Butterworth, Chebychev, Bessel, Elliptic; time and frequency responses; transformations from lowpass to highpass, bandpass, bandstop characteristics; use of standard filter tables.

Digital filters: moving average or finite- impulse- response filters, typical design procedure; recursive or infinite-impulse-response filters; designs from analog prototypes; bilinear, impulse -invariance transformations designs; direct design, frequency sampling design, effects of finite word length; some typical realisations.

Network synthesis: realisability theory; positive real functions, properties and synthesis of one-port functions; properties of transfer functions; zeros of transmission; synthesis of ladder and constant--resistance networks; design of filter and equaliser networks, predistortion, impedance and frequency scaling, frequency transformation.

Active filters: transfer functions, active filter elements, construction of filters; gain, stability and sensitivity of VCVS realisations, multi-loop VCVS filters; single and multiple feedback infinite gain realisations, state variable and Biquad filters; admittance and impedance transformations; singular network elements; NICs and PICs characteristics and realisations; gyrators, inductance simulations; GIC filter synthesis, FDNR synthesis.

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