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Engineering · Electrical Engineering
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7CCSMTDS Question Five. Consider the continuous wavelet transform of a signal f(t) using a wavelet y (t) a) Give the mathematical formula for the continuous wavelet transform (5 marks) CWT (a, b) of f (t). b) Sketch b (tae) for a 0 when 1, -is t 50, p(t) 1, 0 t 0, otherwise (5 marks) c) For a given value of the scale parameter a in the continuous wavelet transform of f(t) using the wavelet p(t) given in part b), determine the region of the shift parameter b for which CWT (a,b) is influenced by (5 marks) the value of f(t) at a time instant to. 0), where 0, t 0 u(t) 1, t 0. Sketch and label the continuous wavelet transform of f(t) using the wavelet (t) given in part b) (5 marks) e) How would you implement the continuous wavelet transform in discrete (5 marks) time?

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