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If the phase-offset/delay of the multiply-filter-divide system is known, it can be compensated for to recover the correct phase. In practice, applying this phase compensation is complicated. [4] In general, the modulation's order matches the nonlinear operator required to produce a clean carrier harmonic. As an example, consider a BPSK signal.
Trac D. Tran received the B.S. and M.S. degrees from the Massachusetts Institute of Technology, Cambridge, in 1993 and 1994, respectively, and the PhD degree from the University of Wisconsin, Madison, in 1998, all in Electrical Engineering.
The perfect reconstruction condition for an oversampled filter bank can be stated as a matrix inverse problem in the polyphase domain. [11] For IIR oversampled filter bank, perfect reconstruction have been studied in Wolovich [12] and Kailath. [13] in the context of control theory. While for FIR oversampled filter bank we have to use different ...
In signal processing, linear phase is a property of a filter where the phase response of the filter is a linear function of frequency.The result is that all frequency components of the input signal are shifted in time (usually delayed) by the same constant amount (the slope of the linear function), which is referred to as the group delay.
The word "perfect" in this sense means "completed"; it contrasts with the "imperfect", which denotes uncompleted actions or states. In English grammar, the pluperfect (e.g. "had written") is now usually called the past perfect, since it combines past tense with perfect aspect. (The same term is sometimes used in relation to the grammar of other ...
The aspect ratio of the resulting ellipse is a function of the phase shift between the input and output, with an aspect ratio of 1 (perfect circle) corresponding to a phase shift of ±90° and an aspect ratio of ∞ (a line) corresponding to a phase shift of 0° or 180°. [citation needed]
Phase music is a form of music that uses phasing as a primary compositional process. It is an approach to musical composition that is often associated with minimal music , as it shares similar characteristics, but some commentators prefer to treat phase music as a separate category. [ 1 ]
Conversely, a phase reversal or phase inversion implies a 180-degree phase shift. [ 2 ] When the phase difference φ ( t ) {\displaystyle \varphi (t)} is a quarter of turn (a right angle, +90° = π/2 or −90° = 270° = −π/2 = 3π/2 ), sinusoidal signals are sometimes said to be in quadrature , e.g., in-phase and quadrature components of a ...