By Andreas Antoniou

An up to date textbook for junior/senior point sign processing classes and senior/graduate point electronic filter out layout classes, this article is supported by means of a DSP software program package deal referred to as D-Filter which might allow scholars to interactively examine the basics of DSP and digital-filter layout. The booklet encompasses a unfastened license to D-Filter on the way to allow the landlord of the e-book to obtain and set up the latest model of the software program in addition to destiny updates.

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Additional info for Digital Signal Processing: Signals, Systems, and Filters

Sample text

The voice signals are distributed to the appropriate persons through the local telephone wires. 18 DIGITAL SIGNAL PROCESSING What the transmit section does in the above system is to add the frequency of a unique carrier to the frequencies of each voice signal, thereby shifting its frequency spectrum by the frequency of the carrier. In this way, the frequency spectrums of the different voice signals are arranged contiguously one after the other to form the composite signal g(t) which is referred to as a group by telephone engineers.

13a), or just sines as in Eq. 13b). Engineers often refer to the sinusoidal component of frequency ω0 as the fundamental and to those of frequencies kω0 for k = 2, 3, . . , as the harmonics. The terms 12 a0 in Eq. 9), 12 A0 cos φ0 in Eq. 13a), and 12 A0 sin(φ0 + π/2) in Eq. 13b) are alternative ways of representing the zero frequency component and can assume positive or negative values. The set of coefﬁcients {X k : − ∞ ≤ k ≤ ∞} in Eq. 5), the sets of coefﬁcients {ak } and {bk } in Eq. 9), and the corresponding amplitudes and phase angles of the sinusoids in Eq.

INTRODUCTION TO DIGITAL SIGNAL PROCESSING 21 With the rapid advances in integrated-circuit technology during the sixties, a trend toward digital technologies began to emerge to take advantage of the classical merits of digital systems in general, which are as follows: • • • • • • Component tolerances are uncritical. Accuracy is high. Physical size is small. Reliability is high. Component drift is relatively unimportant. The inﬂuence of electrical environmental noise is negligible. Owing to these important features, digital technologies can be used to design cost-effective, reliable, and versatile systems.