Distortion tolerant linear phase modulations
First Claim
1. A method of minimizing the distortion caused by a saturated power amplifier or up-converter or RF circuit to phase modulated signals, the method comprising the steps of:
- mapping k bits d=(d1,d2, . . . ,dk) at a time to one of M=2k phases, the mapped phase is φ
(d), which is a symbol;
feeding a coefficient cos φ
(d) to a first finite impulse response filter for summing a series of the delayed filter coefficients {p(j)} weighted by the symbol coefficients {cos φ
(d)} to form a filtered in-phase signal; and
feeding a coefficient sin φ
(d) to a second finite impulse response filter for summing a series of the delayed filter coefficients {p(j)} weighted by the symbol coefficients {sin φ
(d)}to form a filtered quadrature signal, wherein the filtering of the in-phase signal and the quadrature signal with a pulse shaping function p(t) of L≧
2 symbols long, and the pulse shaping function satisfies;
where x(t) is the convolution of p(t) and p(LTs−
t), Ts is the symbol time;
when the impulse response p1 (t) of the saturated power amplifier is known, the function x(t) is the convolution of g(t)=p(t)*p1(t) and g(T−
t), where T is the duration of g(t).
0 Assignments
0 Petitions
Accused Products
Abstract
A signal and information transmission system for communications or radar and a method of achieving distortionless transmission of linear phase shift keying signals amplified by nonlinear power amplifiers or distorted by up-converters and RF circuits or the channel. Error correcting codes are used to jointly overcome both the distortion by the power amplifiers or up-converters and RF circuits or the channel and the noise. The modulator generates properly pulse shaped PSK signal, which does not have constant envelope. The signal-to-distortion power ratio is maximized to be above 20 dB at the fully saturated power amplifier output. The simplest linear receiver is provided to demodulate the received signal in the presence of radio distortion, channel distortion and noise. The decoder makes decision in the presence of radio distortion, channel distortion and noise. The method guarantees distortionless transmission of PSK signals for communications systems or radar employing power amplifiers of high DC-to-AC power conversion efficiency including class-F, class-E, class-D, class-C, or any of class-A, class-B, class-AB working in the saturation region. The method can achieve high bandwidth efficiency.
-
Citations
25 Claims
-
1. A method of minimizing the distortion caused by a saturated power amplifier or up-converter or RF circuit to phase modulated signals, the method comprising the steps of:
-
mapping k bits d=(d1,d2, . . . ,dk) at a time to one of M=2k phases, the mapped phase is φ
(d), which is a symbol;feeding a coefficient cos φ
(d) to a first finite impulse response filter for summing a series of the delayed filter coefficients {p(j)} weighted by the symbol coefficients {cos φ
(d)} to form a filtered in-phase signal; andfeeding a coefficient sin φ
(d) to a second finite impulse response filter for summing a series of the delayed filter coefficients {p(j)} weighted by the symbol coefficients {sin φ
(d)}to form a filtered quadrature signal, wherein the filtering of the in-phase signal and the quadrature signal with a pulse shaping function p(t) of L≧
2 symbols long, and the pulse shaping function satisfies;where x(t) is the convolution of p(t) and p(LTs−
t), Ts is the symbol time;
when the impulse response p1 (t) of the saturated power amplifier is known, the function x(t) is the convolution of g(t)=p(t)*p1(t) and g(T−
t), where T is the duration of g(t).- View Dependent Claims (2, 3, 4)
-
-
5. A communication system for transmitting and receiving an input data stream, said communication system comprising:
-
a transmitter for receiving the input data stream and transmitting the input data stream out therefrom, said transmitter including a modulator defining a pulse shaping function p(t) for mapping the input data stream using phase shift keying to create a modulated signal, and an amplifier working in a saturation region and defining an impulse response function p1(t) for amplifying the modulated signal to create an amplified modulated signal, wherein said pulse shaping function and said impulse response function are convoluted such that the pulse shaping function and the impulse response function satisfy; where L is the number of symbols and Ts is the symbol time; where x(t) is the convolution of g(t)=p(t)*p1(t) and g(T−
t), where T is the duration of g(t);a channel through which the amplified modulated signal is transmitted; and a receiver to receive the amplified modulated signal to down convert the amplified signal to retrieve the input data stream therefrom. - View Dependent Claims (6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23)
-
-
24. A transmitter for receiving an input data stream and transmitting the input data stream out therefrom, said transmitter comprising:
-
a modulator defining a pulse shaping function p(t) for mapping the input data stream using phase shift keying to create a modulated signal, said modulator including first and second finite impulse response filters to construct the modulated signal in orthogonal channels, wherein said first and second finite impulse response filters define a roll-off factor (β
) in a range between 0.6 and 1.0, inclusive, for a square root raised cosine function; andan amplifier defining an impulse response function p1(t) for amplifying the modulated signal to create an amplified modulated signal, wherein said pulse shaping function and said impulse response function are convoluted to minimize the effect of noise and distortion allowing the input data stream to be demodulated and read such that the pulse shaping function and the impulse response function satisfy; where L is the number of symbols and Ts is the symbol time; where x(t) is the convolution of g(t)=p(t)*p1(t) and g(T−
t), where T is the duration of g(t).
-
-
25. A method for phase shift keying communications systems for use with nonlinear power amplifiers and linear power amplifiers working in saturation region to achieve bit error performance compatible to bit error rate of phase shift keying communications system using linear power amplifier, the method comprising of the steps of:
-
generating a phase shift keying signal using square root raised cosine function with roll-off factor in a range between 0.6 and 1.0 as pulse shaping function p(t) to create a modulated signal; amplifying the modulated signal to create an amplified modulated signal by a nonlinear power amplifier or a linear power amplifier working in saturation region with impulse response function p1(t), the pulse shaping function and the impulse response function satisfying; where L is the number of symbols and Ts is the symbol time; and where the function x(t) is the convolution of g(t)=p(t)*p1(t) and g(T−
t), where T is the duration of g(t);filtering the modulated amplified signal in the in-phase channel by a finite impulse response filter matched to the convolution of the said pulse shaping function and the said impulse response function; filtering the modulated amplified signal in the quadrature channel by a finite impulse response filter matched to the convolution of the said pulse shaping function and the said impulse response function; and using the output signals of the said finite impulse response filters to retrieve the information data stream.
-
Specification