Abstract
This paper introduces a new time-frequency transform, referred to as the keystone-based cosine transform (KCT), to process real-valued multi-component linear frequency-modulated signals. Theoretical derivation shows that the KCT is a bilinear-based transform, but has a property of asymptotic linearity with negligible cross-terms. It also has high signal energy concentration. Experimental simulations show that compared with fractional cosine transform, the KCT can provide better performance on the distribution concentration and noisy signal detection.
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This work was supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry [2015] 1098, the National Natural Science Foundation of China (NSFC) (61401070), and the Fundamental Research Funds for the Central Universities (ZYGX2014J097).
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Luo, S., Bi, G., Xiao, Y. et al. A Keystone-Based Cosine Transform. Circuits Syst Signal Process 36, 3438–3447 (2017). https://doi.org/10.1007/s00034-016-0457-6
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DOI: https://doi.org/10.1007/s00034-016-0457-6