By Franz Hlawatsch

Linear sign areas are of basic value in sign and method conception, conversation conception, and glossy sign processing.
This booklet proposes a time-frequency research of linear sign areas that's in keeping with novel time-frequency representations known as the `Wigner distribution of a linear sign area' and the `ambiguity functionality of a linear sign space'.
in addition to being an invaluable show and research instrument, the Wigner distribution of a linear sign house permits the layout of high-resolution time-frequency filtering equipment. This booklet develops such tools and applies them to the enhancement, decomposition, estimation, and detection of noisy deterministic and stochastic indications. formula of the filtering (estimation, detection) tools within the time-frequency aircraft yields an immediate interpretation of the impact of including or deleting details, altering parameters, and so on. In a feeling, the past info and the sign processing projects are delivered to lifestyles within the time-frequency airplane.
the paradox functionality of a linear sign house, however, is heavily regarding a unique maximum-likelihood multipulse estimator of the variety and Doppler shift of a slowly fluctuating element aim - an estimation challenge that's vital in radar and sonar. in particular, the anomaly functionality of a linear sign house is correct to the matter of optimally designing a suite of radar pulses.
The suggestions and strategies provided are amply illustrated via examples and images. Time-Frequency research and Synthesis of Linear Signal Spaces: Time-Frequency Filters, sign Detection and Estimation, and Range-Doppler Estimation is a superb reference and should be used as a textual content for complex classes masking the topic.

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