UVM Theses and Dissertations
Format:
Print
Author:
Elfataoui, Mohamed
Dept./Program:
Electrical and Computer Engineering
Year:
2004
Degree:
M.S.
Abstract:
In this thesis, we propose two methods for generating a discrete-time analytic (DTA) signal. The first is in the frequency domain and the second in the time domain. We consider a common procedure in MATLAB for generating DTA signals and show how it fails for specific discrete-time real signals. A new frequency domain technique is formulated that resolves this defect. Both methods have the same redundancy. The new analytic signal preserves the original signal (real part) as also the zeros of its discrete spectrum in the negative frequencies.
The superiority of the new method is in the introduction of one additional zero of the continuous spectrum of the original signal at a negative frequency. There is a corresponding improvement in shiftability but at a loss of orthogonality. We also formulate a new time-domain method for DTA signal generation. The advantage of this technique is that is provides linear phase, orthogonality, invertibility and real-time implementation. Furthermore, we can also obtain improved shiftability. To our knowledge, no other technique for DTA generation provides all these properties.
The superiority of the new method is in the introduction of one additional zero of the continuous spectrum of the original signal at a negative frequency. There is a corresponding improvement in shiftability but at a loss of orthogonality. We also formulate a new time-domain method for DTA signal generation. The advantage of this technique is that is provides linear phase, orthogonality, invertibility and real-time implementation. Furthermore, we can also obtain improved shiftability. To our knowledge, no other technique for DTA generation provides all these properties.