Signal Analysis & Synthesis

Types of Signals

Signal Analysis

Fourier's Theorem

Analogue Modulation

DSB/SC

SSB/SC

FM

Phase Modulation

Analogue Signal Processing

Ideal Low-pass Filter

Real and Ideal Filters

Frequency conversion

Digital signal processing

Digital modulation

Pulse width

Pulse position

Pulse code

Communication Systems

FDMA

TDMA

Basic fiber

Interactive Exercise

Frequency Conversion

Let us first consider the basic principle of heterodyning action and its necessity.

Need

It is very difficult to design amplifiers which give uniformly high gain over a wide range of radio frequencies used in commercial broadcast stations. However, it is possible to design amplifiers which can provide high-gain uniform amplification over a narrow band of comparatively lower frequencies called intermediate frequencies (IF). Hence, it is necessary to convert the modulated RF carrier into modulated IF carrier by using a frequency converter.

This IF signal is then amplified by narrowband IF amplifiers and passed on to the AM detectors.

Basic Principle

The frequency conversion can be achieved by utilizing the heterodyne principle. For this purpose, the modulated RF signal is mixed (in a mixer) with an un-modulated RF signal produced by local oscillator as shown in the following illustration:


FREQUENCY CONVERSION

The oscillator and the mixer may be either two separate devices or combined into one device called converter. The process of combining two ac signals of different frequencies in order to obtain a signal of new frequency is called heterodyning action.

Amplification

Signal amplification is frequently needed, both for increasing the signal level of transducers such as thermocouples that have a low-magnitude output, and also for compensating for attenuation of signals during transmission from remote sensors.Amplification by analogue means, is usually carried out by an operational amplifier. This is normally required to have high-input impedance so that its loading effect on the transducer output signal is minimised. In some circumstances, such as, when amplifying the output signal from accelerometers and some optical detectors, the amplifier must also have a high-frequency response, to avoid distortion of the output reading.

Mixer

Mixer is a critical gateway through which all signals-over a very wide frequency range,must pass, but only one of which must be converted to a new,fixed frequency range,the IF.All other competing signals at the input must be tolerated, but eventually ignored.Because of their highly non-linear nature, mixers are not amendable to the familiar linear circuit analysis methods which work quite well for most of the remaining sections of a typical receiver.Partly, as a consequence of this, they are often surrounded by an aura of mystery.The internal behaviour of mixers is certainly complicated,but it can be reduced to a few simple ideas.

Heterodyning Action

Suppose the carrier signal of frequency fs is heterodyned with another signal of frequency fo, then two additional signals are produced whose frequencies are:

  • fo + fs - the sum component.
  • fo - fs - the difference component

Usually, the sum frequency is removed by band-pass filtering. The difference frequency (also called beat frequency) is retained and forms the IF frequency in AM receivers.

Suppose, an AM carrier signal of frequency 1500 KHz is mixed with an un-modulated carrier (produced by local oscillator) of frequency 1955 KHz, then, following two frequencies are produced:

  • 3455 kHz and
  • 455 kHz

The higher frequency is generally filtered out leaving behind the difference frequency of 455 kHz which forms the IF frequency.

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