... signal properties. The vectors are selected from a familyof waveforms called a dictionary. The signal x(t)isprojectedonto a dictionary of TF atoms obtained by scaling, translat-ing, and modulating ... instantaneous frequency (IF) of a signal is a param-eter of practical importance in situations such as seis-mic, radar, sonar, communications, and biomedical appli-cations [1, 2, 3, 4]. In all ... multime-dia data such as audio and image [5, 6]. In the multi-media security application, time-frequency distribution isused as a tool to embed and to detect the watermark mes-sage of the signals...