Introduction High quality cosine waves and sine waves are relatively easy to generate electrically and are also useful for theoretical analysis. They are related to the Hilbert transform and complex delta function. Also we have considered sum of sine waves with initial phases of zero. Second, we have investigated sum of cosine waves with initial phases of zero it would converge to the delta function and it can be for linear system analysis and design. As a result of simulation using a random number for the initial phase, the crest factor is about 4 we see that the three algorithms are able to reduce the crest factor. We found from simulation results that the crest factor was the smallest at (which is only 1.16 times larger than the sine wave) when using the Newman algorithm, even though the crest factor is almost comparable for the three algorithms. A multi-tone signal minimizing the crest factor used for such high SNR measurement of the analog circuits can be realized by proper selection of the initial phases. For example, a sine wave has a crest factor of 1.414:1.

The crest factor is a measure of a waveform and defined as the peak amplitude of a waveform divided by the RMS value. First, we show simulation results of three algorithms (Kitayoshi, Newman, Schroeder) for minimizing the crest factor in multi-tone signals and compare them.

This paper studies characteristics of multi-tone signals, for design and testing of linear circuits and systems. 1 Study on Multi-tone Signals for Design and Testing of Linear Circuits and Systems Yukiko Shibasaki 1,a, Koji Asami 1,b, Anna Kuwana 1,c, Yuanyang Du 1,d, Akemi Hatta 1,e, Kazuyoshi Kubo 2,f and Haruo Kobayashi 1,g 1 Division of Electronics and Informatics, Faculty of Science and Engineering, Gunma University Tenjin-cho Kiryu, Gunma, Japan Oyama National College of Technology, Oyama, Tochigi Japan a b c d e f g Keywords: Multi-tone signal, Cosine wave, Sine wave, Crest factor, Hilbert transform, Impulse signal Abstract.

Pure music 1.89b