The bilinear transform is a special case of a conformal mapping ( namely, the Möbius transformation ), often used to convert a transfer function of a linear, time-invariant ( LTI ) filter in the continuous-time domain ( often called an analog filter ) to a transfer function of a linear, shift-invariant filter in the discrete-time domain ( often called a digital filter although there are analog filters constructed with switched capacitors that are discrete-time filters ).

This means that for every feature that one sees in the frequency response of the analog filter, there is a corresponding feature, with identical gain and phase shift, in the frequency response of the digital filter but, perhaps, at a somewhat different frequency.

If we wish to implement this filter as a digital filter, we can apply the bilinear transform by substituting for the formula above ; after some reworking, we get the following filter representation:

The output of a linear digital filter to any given input may be calculated by convolving the input signal with the impulse response.

A digital filter may be described in the z plane by its characteristic collection of zeroes and poles.

The technology combines a single digital projector fitted with either a polarizing filter ( for use with polarized glasses and silver screens ), a filter wheel or an emitter for LCD glasses.

The complexity of such a system is specified by its order N. N is often a constraint on the design of a transfer function since it specifies the number of reactive components in an analog circuit ; in a digital IIR filter the number of computations required is proportional to N.

A filter implemented in a computer program ( or a so-called digital signal processor ) is a discrete-time system ; a different ( but parallel ) set of mathematical concepts defines the behavior of such systems.

Although a digital filter can be an IIR filter if the algorithm implementing it includes feedback, it is also possible to easily implement a filter whose impulse truly goes to zero after N time steps ; this is called a finite impulse response ( FIR ) filter.

A digital IIR filter can generally approximate a desired filter response using less computing power than a FIR filter, however this advantage is more often unneeded given the increasing power of digital processors.

Due to widespread cable theft in earlier analog systems, in modern digital cable systems the signals are encrypted, and the set-top box must be activated by an activation code sent by the cable company before it will function, which is only sent after the subscriber signs up.

No matter how many generations of a digital source is copied, it will still be as clear as the original first generation of digital footage.

These will enable developing countries to give their children a digital education, and help close the digital divide across the world.

On cable, only digital ( DVB-C ) will be broadcast from 2008 on.

In France, the satellite telecommunications system TELECOM 1 ( TC1 ) will provide high-speed, broadband transfer of digital data between different sections of subscribing companies.

Honotua will increase the speed of transferring digital information from the current maximum Internet speed of 500 megabits per second to more than 20 gigabits per second.

As a result, most investors will not commit to financing a film unless an insurer can be found to protect them against the risk that the film ultimately cannot be released as a result of a total catastrophe such as total loss of film negatives ( or digital media ), death of the Director or Stars during production, natural disasters destroying the sets, and so on.

Under the direction of the Cinematographer or Director of Photography, the DIT will make adjustments to the multitude of variables available in most professional digital cameras to creatively or technically manipulate the resulting image.

The Pan-STARRS project, partially operational since May 2010, will, when fully online, survey the entire sky with four 1. 4 gigapixel digital cameras to detect any moving objects, from near-earth objects to KBOs.

Spending for nurturing children for literacy before age 6 will be a large market and will have the most impact in improving the quality of life, especially those children who reside on the wrong side of the digital divide.

Unlike digital recording equipment, however, analog VCRs do not respond to CGMS-A encoded video and will record it successfully if ACP is not also present.

These will not always be available, and so all such digital signatures will be less than credible.

Although tests are being performed in Bucharest it is possible that Romania will not migrate to digital terrestrial systems, but completely discontinue this service, and sell the available spectrum for other purposes, since the said investments provide limited appeal.

TNT, an aerial digital television service, will be expanding its service to Saint Pierre and Miquelon by the end of 2010 ; unlike SPM Telecom's cable service, TNT offers only RFO and Metropolitan France channels.

In systems design these behaviours will also often be excluded from system models, since they cannot be implemented with a digital controller.

This situation will self-resolve, but will take a random time, and while it persists can result in invalid signals being propagated within the digital system for a short time.

However, the digital circuit will calculate more repeatably, because of its high noise immunity.

Typically the digital output will be a two's complement binary number that is proportional to the input, but there are other possibilities.

When the voltages are nearly equal, the output voltage will not fall into one of the logic levels, thus analog signals will enter the digital domain with unpredictable results.

Radio DJs or radio personalities introduce and play music that is broadcast on AM, FM, shortwave, digital, or internet radio stations.

LCD TVs commonly display more than that as the digital processing can introduce color distortions and the additional levels of color are needed to ensure true colors.

In 2004 the United States Postal Service announced plans to introduce first day digital colour postmarks to be used to cancel some first day covers for commemorative stamps in 2005 and this practice has continued into 2006 and is currently ongoing as of 2012.

However, digital filters do introduce a higher fundamental latency to the system.

Ongoing upgrading works are taking place to introduce the Computer-Telephony Integration ( CTI ) for hospital exchanges, digital mapping to track the callers ' locations and Computer Assisted Despatching ( CAD ) for online connectivity among the agencies providing the emergency services in the country.

They introduce various modifications to its host system's function, including the circumvention of region coding, digital rights management, and copy protection checks for the purpose of using media intended for other markets, copied media, or unlicensed third-party ( homebrew ) software.

* Use of digital interconnect standards, such as CCIR 601 and SMPTE 292M, which operate without the non-linearities and other issues inherent to analogue broadcasting, do not introduce colour shifts or brightness changes ; thus the requirement to detect and compensate for them using this reference signal has been virtually eliminated.

On it became the first Spanish newspaper to introduce a payment system for access to the contents of its electronic version, which drastically reduced the number of visits to the website, to the extent that El Mundo, which maintained open access to the majority of its contents, became the leading Spanish digital newspaper.

WIN Television began to introduce digital television soon after it became available to metropolitan areas in January 2001.

The early 70s saw Heath introduce the AJ-1510, an FM tuner using digital synthesis, and the GC-1005 digital clock.

) Zenith was also one of the first companies to introduce a digital HDTV system implementation, parts of which were included in the ATSC standard starting with the 1993 Grand Alliance.

The Network was more excited by its plans to introduce a new SD channel in 2009 called GO !, which is when digital multicasting restrictions were scheduled to be lifted from the commercial stations.

Practical systems introduce reverse FM modulation on the receive signal using digital signal processing before the Fast Fourier Transform process is used to produce the spectrum.

e-hut hopes to introduce digital services like IP phoning, e-commerce, video conferencing, money transfer and courier services in the future.

After the channel's initial launch in 2003, it began to introduce commercials throughout its schedule until August 31, 2009 when the channel, along with the other CTVglobemedia-owned digital music channels, switched back to a commercial-free format.

By the late 1980s, several manufacturers were prepared to introduce read / write digital audio formats to the United States.