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Wave Packet and de Broglie's Wave-particle Duality
Published in Caio Lima Firme, Quantum Mechanics, 2022
The cosine wave is nearly identical to sine wave except that each point on the cosine wave occurs ¼ cycle earlier than that from sine wave. The number of waves, nx, and phase of wave at a given x, φx, are: nx=xλφx=2πnx
Trigonometric waveforms
Published in John Bird, Bird's Higher Engineering Mathematics, 2021
Amplitude is the name given to the maximum or peak value of a sine wave. Each of the graphs shown in Figs. 11.12 to 11.15 has an amplitude of +1 (i.e. they oscillate between +1 and −1). However, if y=4sinA, each of the values in the table is multiplied by 4 and the maximum value, and thus amplitude, is 4. Similarly, if y=5cos2A, the amplitude is 5 and the period is 360∘/2, i.e. 180∘.
Source Coding for Audio and Speech Signals
Published in Rajeshree Raut, Ranjit Sawant, Shriraghavan Madbushi, Cognitive Radio, 2020
Rajeshree Raut, Ranjit Sawant, Shriraghavan Madbushi
The function is called mother wavelet if it satisfies Equations 3.4 and 3.5. Fourier analysis consists of breaking up a signal into sine waves of various frequencies. Similarly, wavelet analysis is the breaking up of a signal into shifted and scaled versions of the original (or mother) wavelet.
An Improved Method for Load Taxonomy Using Sample Shifting Technique and Signature Analysis
Published in Electric Power Components and Systems, 2019
Rumpa Saha, Jitendra N. Bera, Gautam Sarkar
In the sample shifting technique, the symmetry feature of sinusoidal waveform is utilized and the data for a cosine wave is generated from that of a sine wave or vice versa. Since the basic difference between sine and cosine waves is only a phase difference of 90°, the data for a cosine wave is generated from that of sine wave with their rearrangement by shifting an amount of data corresponding to 90 electrical degree.