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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Zierhofer, C.M. |
| Copyright Year | 1994 |
| Description | Signal representation by means of unity weight and continuous-time aperiodic Dirac impulses is discussed, where the Dirac impulses are triggered at the zero crossings of frequency-modulated (FM) sinusoids. Analysis is based on generalized FM. The Fourier spectrum Psi(f) of such a Dirac impulse sequence psi(t) is composed of the signal spectrum plus a superposition of weighted FM spectra around integer multiples of the carrier frequency. It is demonstrated that FM-related sequences Psi(t) are generated by asynchronous DeltaSigmamodulators of first order. Practically relevant clock-synchronous versions psid(t) of Psid(t) are obtained, when the clock rate is twice the FM carrier frequency. A DeltaSigma-spectrum psid(f) can be regarded as a superposition of weighted and shifted versions of psi(f), whereby the first partial FM spectrum in psi(f) around the FM carrier frequency plays a dominant role. |
| Sponsorship | IEEE Signal Processing Society |
| Starting Page | 825 |
| Ending Page | 828 |
| Page Count | 4 |
| File Size | 420179 |
| File Format | |
| ISSN | 10709908 |
| Volume Number | 15 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2008-01-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Frequency modulation Delta-sigma modulation Signal representations Signal analysis Signal processing Clocks Sampling methods Physics Fourier series Bandwidth signal represenation $\Delta \Sigma $-modulation $\Delta \Sigma $-spectrum asynchronous $\Delta \Sigma $-modulator Carson bandwidth Dirac impulses frequency modulation generalized frequency modulation Nyquist sampling theorem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Signal Processing Electrical and Electronic Engineering |
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