Waveform shaping in

electronics The field of electronics is a branch of physics and electrical engineering that deals with the emission, behaviour and effects of electrons using electronic devices. Electronics uses active devices to control electron flow by amplification ...

is the modification of the shape of an electronic

waveform In electronics, acoustics, and related fields, the waveform of a signal is the shape of its graph as a function of time, independent of its time and magnitude scales and of any displacement in time.David Crecraft, David Gorham, ''Electronic ...

. It is in close connection with waveform diversity and waveform design, which are extensively studied in

signal processing Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as audio signal processing, sound, image processing, images, and scientific measurements. Signal processing techniq ...

. Shaping the waveforms are of particular interest in active sensing (

radar Radar is a detection system that uses radio waves to determine the distance (''ranging''), angle, and radial velocity of objects relative to the site. It can be used to detect aircraft, ships, spacecraft, guided missiles, motor vehicles, w ...

sonar Sonar (sound navigation and ranging or sonic navigation and ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigation, navigate, measure distances (ranging), communicate with or detect o ...

) for better detection performance, as well as communication schemes (

CDMA Code-division multiple access (CDMA) is a channel access method used by various radio communication technologies. CDMA is an example of multiple access, where several transmitters can send information simultaneously over a single communication ...

frequency hopping Frequency-hopping spread spectrum (FHSS) is a method of transmitting radio signals by rapidly changing the carrier frequency among many distinct frequencies occupying a large spectral band. The changes are controlled by a code known to both tra ...

), and biology (for animal stimuli design). See also

Modulation In electronics and telecommunications, modulation is the process of varying one or more properties of a periodic waveform, called the ''carrier signal'', with a separate signal called the ''modulation signal'' that typically contains informatio ...

Pulse compression Pulse compression is a signal processing technique commonly used by radar, sonar and echography to increase the range resolution as well as the signal to noise ratio. This is achieved by modulating the transmitted pulse and then correlating th ...

Spread spectrum In telecommunication and radio communication, spread-spectrum techniques are methods by which a signal (e.g., an electrical, electromagnetic, or acoustic signal) generated with a particular bandwidth is deliberately spread in the frequency dom ...

Transmit diversity Transmit diversity is radio communication using signals that originate from two or more independent sources that have been modulated with identical information-bearing signals and that may vary in their transmission characteristics at any given ...

Ambiguity function In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay \tau and Doppler frequency f, \chi(\tau,f). It represents the distortion of a returned pulse due to the receiver matched filter ( ...

Autocorrelation Autocorrelation, sometimes known as serial correlation in the discrete time case, is the correlation of a signal with a delayed copy of itself as a function of delay. Informally, it is the similarity between observations of a random variable ...

, and

Cross-correlation In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is also known as a ''sliding dot product'' or ''sliding inner-product''. It is commonly used fo ...

Waveform design for active sensing systems: a computational approach
Cambridge University Press, 2012. * Solomon W. Golomb, and Guang Gong
Signal design for good correlation: for wireless communication, cryptography, and radar
Cambridge University Press, 2005. * M. Soltanalian
Signal Design for Active Sensing and Communications
Uppsala Dissertations from the Faculty of Science and Technology (printed by Elanders Sverige AB), 2014. * Nadav Levanon, and Eli Mozeson. Radar signals. Wiley. com, 2004. * Jian Li, and Petre Stoica, eds. Robust adaptive beamforming. New Jersey: John Wiley, 2006. * Fulvio Gini, Antonio De Maio, and Lee Patton, eds. Waveform design and diversity for advanced radar systems. Institution of engineering and technology, 2012. * Mark R. Bell, "Information theory and radar waveform design." IEEE Transactions on Information Theory, 39.5 (1993): 1578–1597. * Robert Calderbank, S. Howard, and Bill Moran. "Waveform diversity in radar signal processing." IEEE Signal Processing Magazine, 26.1 (2009): 32–41. * Augusto Aubry, Antonio De Maio, Bo Jiang, and Shuzhong Zhang.
Ambiguity function shaping for cognitive radar via complex quartic optimization
" IEEE Transactions on Signal Processing 61 (2013): 5603–5619. * John J. Benedetto, Ioannis Konstantinidis, and Muralidhar Rangaswamy.
Phase-coded waveforms and their design
" IEEE Signal Processing Magazine, 26.1 (2009): 22–31. * Mojtaba Soltanalian, and Petre Stoica.
Computational design of sequences with good correlation properties
" IEEE Transactions on Signal Processing, 60.5 (2012): 2180–2193. * Mohammad Mahdi Naghsh, M. Soltanalian, P. Stoica, M. Modarres-Hashemi, A. De Maio, and A. Aubry,
A Doppler Robust Design of Transmit Sequence and Receive Filter in the Presence of Signal-Dependent Interference
, IEEE Transactions on Signal Processing, 62.4 (2014): 772–785.

References

Signal processing {{Signal-processing-stub

Further reading

References