Signal processing techniques involve methods to extract information from various types of signal sources but also methods to protect, store, and retrieve the information at a later date. In, for example, a telecommunication system we are interested in transmitting information from one place to another, whereas in other applications, e.g., MP3 players, we are interested in efficient storing and retrieving of information. Note that storing information for later retrieval can be viewed as transmitting the information over a transmission channel with an arbitrary long time delay. In many cases, for example in the MP3 format, signal processing techniques have been used to remove nonaudible (redundant) information in order to reduce the amount of information that needs to be stored.
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Notes
- 1.
A mixed-mode system uses both continuous-time and discrete-time signals.
- 2.
In the literature, the more restricted term LC is (wrongly) used to represent a filter that contains both R, L and C elements.
- 3.
Note that in the literature, the phase is sometimes defined with a negative sign compared to Equation (1.6).
- 4.
A forerunner to the Laplace transform, the operational calculus, was invented by Oliver Heaviside (1850–1925). The basis for Heaviside’s calculus was later found in writings of Laplace (1780).
- 5.
In the literature, the terms order and degree are used interchangeably, but the former refers to the order of the corresponding differential equation whereas the later refers to the degree of the polynomial.
- 6.
Adolf Hurwitz (1859–1919), Germany.
- 7.
Proposed by the nobel laureate Paul A. M. Dirac (U.K.) in 1927 (1902–1984).
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Wanhammar, L. (2009). Introduction to Analog Filters. In: Analog Filters Using MATLAB. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-92767-1_1
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