Trends in digital signal processing : a festschrift in by Yong Ching Lim, Hon Keung Kwan, Wan-Chi Siu

By Yong Ching Lim, Hon Keung Kwan, Wan-Chi Siu

Digital sign processing is ubiquitous. it really is a vital element in lots of of today’s digital units, starting from clinical apparatus to weapon platforms. It makes the variation among dumb and clever structures. This e-book is prepared into 5 components: (1) advent, which incorporates an account of Prof. Constantinides’ contribution to the sector and short summaries of the remainder chapters of this festschrift, (2) electronic Filters and Transforms, which covers effective electronic filtering strategies for making improvements to sign caliber, (3) sign Processing, which supplies an perception into primary theories, (4) Communications, which offers with a few vital functions of sign processing thoughts, and (5) Finale, which includes a dialogue at the influence of electronic sign processing on our society and the remaining comments in this festschrift.

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To fully exploit the advantages of DSP systems, real-world signals need to be transformed into discrete, binary coded samples to be processed by sophisticated software algorithms. Therefore, the availability of high-speed and high-resolution ADCs is essential to the success of these advanced systems. For instance, in the telecommunication area, high speed ADCs allow direct conversion of signals at radio frequencies (RF), eliminating the need for analog down conversion stages. In turn, the continuous development of these advanced systems has consistently pushed the boundaries of the ADCs.

The distortion pair introduced by gain mismatch is symmetric about k s /M, k = 1, . . , M − 1. (b) Timing and frequency response mismatch. The distortion coefficients are frequency dependent and the distortion pair is in general not symmetric about k s /M, k = 1, . . , M − 1. In this case, the aliasing components no longer exist and the output spectrum is the same as that of a single ADC with frequency ¯ characteristic H¯ A ( j ) and DC offset o. The distortion components introduced by the mismatches degrade the performance of the TIADC such as the SINAD and SFDR.

25) (1 − t/tk ). 26) where ∞ G (t) = (t − t0 ) k=−∞, k=0 G (tk ) is the derivative of G(t) evaluated at t = tk , and t0 can be chosen to be zero. In the case of a TIADC, tk = kTs + τ k M where k M denotes k modulo M operation. By incorporating Eq. 25) and the periodical sampling pattern of the TIADC, Eldar and Oppenheim [26] first derived a continuous-time synthesis filter bank and then an equivalent discrete-time synthesis filter bank to interpolate the uniform samples. The ideal filter derived has a piecewise constant frequency response and can achieve perfect reconstruction.

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