Mikio Tohyama holds a Doctorate of Engineering from Waseda University, Tokyo, Japan. For the next 18 years beginning in 1975, Dr. Tohyama was involved in research projects in acoustics and signal processing  at the Nippon Telegraph and Telephone (NTT) Research Laboratories. He was a professor at Kogakuin University (1993-2003) and Waseda University (2003-2012) in sound and perception. Since 2012 he has operated his research consulting firm, Wave Science Study (WSS). His present interest is signatures in spatial sound and perception in the wavenumber space. Dr. Tohyama enjoys playing the piano every day.

• Introduction: Periodic pulse train and resonance.- Mirror image theory and one-dimensional systems.- Wave equation for spherical waves in coherent sound fields.- Coherent field in rooms: zeros by multiple reflection.- Random sound fields in rooms.- Poles and zeros of power response and driving point impedance of a source in Source signature analysis by modulation envelopes.- Zeros and room transfer functions for incoherent field.-Statistical phase analysis in rooms.

Mikio Tohyama holds a Doctorate of Engineering from Waseda University, Tokyo, Japan. For the next 18 years beginning in 1975, Dr. Tohyama was involved in research projects in acoustics and signal processing  at the Nippon Telegraph and Telephone (NTT) Research Laboratories. He was a professor at Kogakuin University (1993-2003) and Waseda University (2003-2012) in sound and perception. Since 2012 he has operated his research consulting firm, Wave Science Study (WSS). His present interest is signatures in spatial sound and perception in the wavenumber space. Dr. Tohyama enjoys playing the piano every day.

• Introduction: Periodic pulse train and resonance.- Mirror image theory and one-dimensional systems.- Wave equation for spherical waves in coherent sound fields.- Coherent field in rooms: zeros by multiple reflection.- Random sound fields in rooms.- Poles and zeros of power response and driving point impedance of a source in Source signature analysis by modulation envelopes.- Zeros and room transfer functions for incoherent field.-Statistical phase analysis in rooms.