Method and device for notching the transmission band of an analog signal, in particular an MB-OFDM signal
View Patent ↗The transmission band of an analog signal to be transmitted is notched, including sub-carriers to be modulated from digital modulation coefficients respectively associated with the sub-carriers. The method includes providing an initial digital signal from successive frequency-domain groups each containing the digital modulation coefficients respectively associated to the sub-carriers. The initial signal is filtered with a frequency resolution greater than the frequency resolution of the frequency-domain groups to remove frequencies corresponding to the sub-carriers to be removed. The filtered signal is windowed using a windowing mask having a representation in the frequency-domain including a main lobe and secondary lobes. The power spectrum of the lobes decrease faster than the inverse of the frequency squared.
1. A method for notching a transmission band of an analog signal to be transmitted and including sub-carriers to be modulated from digital modulation coefficients respectively associated to the sub-carriers, the method comprising:
removing sub-carriers within a portion of the transmission band to be notched, the removing comprising
providing an initial digital signal from successive frequency-domain groups each containing the digital modulation coefficients respectively associated to the sub-carriers,
filtering the initial digital signal with a frequency resolution greater than the frequency resolution of the frequency-domain groups to remove frequencies corresponding to the sub-carriers to be removed, and
windowing the filtered digital signal using a windowing mask having a representation in the frequency-domain including a main lobe and secondary lobes, with a power spectrum of the main lobe and secondary lobes decreasing faster than an inverse of the frequency squared.
2. A method according to claim 1 , wherein the windowing mask is based upon a rectangle mask and a Gaussian function.
3. A method according to claim 2 , wherein providing the windowing mask comprises:
providing a time-domain rectangle mask;
performing a time-domain to frequency-domain conversion processing of the rectangle mask with a resolution greater than a frequency resolution of the rectangle mask for obtaining a frequency-domain resulting mask;
multiplying the resulting mask with a Gaussian function for obtaining a modified mask;
performing a frequency-domain to time-domain conversion processing on the modified mask for obtaining an intermediate time-domain mask, and
truncating the intermediate time-domain mask.
4. A method according to claim 2 , wherein a variance of the Gaussian function is greater than or equal to 10 and smaller than or equal to 150.
5. A method according to claim 1 , wherein providing the initial digital signal comprises providing successive initial frequency-domain symbols respectively corresponding to the successive groups of the digital modulation coefficients.
6. A method according to claim 1 , wherein providing the initial digital signal comprises respectively performing successive frequency-domain to time-domain conversion processing on the successive groups of digital modulation coefficients for obtaining successive initial time-domain symbols.
7. A method according to claim 1 , wherein providing the initial digital signal comprises respectively performing successive frequency-domain to time-domain conversion processing on the successive groups of digital modulation coefficients for obtaining successive intermediate time-domain symbols, and adding a suffix to each intermediate symbol for obtaining successive initial time-domain symbols, the suffix of an intermediate symbol being a copy of at least a first sample of the intermediate symbol.
8. A method according to claim 7 , wherein each group of digital modulation coefficients comprises a first number of modulation coefficients corresponding to a first number of modulated sub-carriers, and the signal to be transmitted comprises successive time-domain symbols including a second number of samples, the second number being greater than the first number, and the suffix of an intermediate symbol is a copy of the N first samples of the intermediate symbol, with N being greater than one and smaller than a difference between the second number and the first number.
9. A method according to claim 3 , further comprising squaring samples from the intermediate time-domain mask obtained after the truncating step.
10. A method according to claim 2 , wherein a variance of the Gaussian function is greater than or equal to 20 and smaller than or equal to 60.
11. A method according to claim 1 , wherein filtering the initial digital signal is performed in the frequency-domain.
12. A method according to claim 1 , wherein filtering said initial digital signal is performed in the time-domain.
13. A method according to claim 1 , wherein a frequency resolution of the filtering is an integer multiple of a frequency resolution of the frequency-domain groups.
14. A method according to claim 1 , wherein the filtered signal is a frequency-domain signal and windowing the filtered signal comprises performing a frequency-domain to time-domain conversion processing on the filtered signal before using the windowing mask.
15. A method according to claim 1 , further comprising performing a digital-to-analog conversion processing of the windowed signal on a number of bits greater than 5.
16. A method according to claim 1 , wherein the signal comprises an UWB signal modulated according to a MB-OFDM modulation scheme.
17. A device for notching a transmission band of an analog signal to be transmitted and including sub carriers to be modulated from digital modulation coefficients respectively associated to the sub-carriers, the device comprising:
a processor to remove subcarriers within a portion of the transmission band to be notched, said processor comprising
an input for receiving successive frequency-domain groups each containing the digital modulation coefficients respectively associated to the subcarriers,
a preprocessor for providing an initial digital signal from the successive frequency-domain groups,
a filter for filtering the initial signal with a frequency resolution greater than the frequency resolution of the frequency-domain groups to remove frequencies corresponding to the sub carriers to be removed, and
a windowing unit to window the filtered signal using a windowing mask having a representation in the frequency-domain including a main lobe and secondary lobes, a power spectrum of the main lobe and secondary lobes decreasing faster than an inverse of the frequency squared.
18. A device according to claim 17 , wherein said windowing unit comprises a memory containing digital windowing coefficients defining the windowing mask, the windowing coefficients having being obtained based upon a rectangle mask and a Gaussian function, and a multiplier for multiplying the filtered signal by the windowing coefficients.
19. A device according to claim 18 , wherein a variance of the Gaussian function is greater than or equal to 10 and smaller than or equal to 250.
20. A device according to claim 17 , wherein the initial digital signal comprises successive initial frequency-domain symbols respectively corresponding to the successive groups of digital modulation coefficients.
21. A device according to claim 17 , wherein said preprocessor comprises frequency-domain to time-domain conversion processing for respectively performing successive frequency-domain to time-domain conversion processing on the successive groups of the digital modulation coefficients for obtaining successive initial time-domain symbols.
22. A device according to claim 17 , wherein said preprocessor comprises frequency-domain to time-domain conversion processing to respectively perform successive frequency-domain to time-domain conversion processing on the successive groups of digital modulation coefficients for obtaining successive intermediate time-domain symbols, and an adder for adding a suffix to each intermediate symbol for obtaining successive initial time-domain symbols, the suffix of an intermediate symbol being a copy of at least the first sample of the intermediate symbol.
23. A device according to claim 22 , wherein each group of modulation coefficients comprises a first number of modulation coefficients corresponding to a first number of modulated subcarriers, and the signal to be transmitted comprises successive time-domain symbols including a second number of samples, the second number being greater than the first number, and the suffix of an intermediate symbol is a copy of N first samples of the intermediate symbol, with N being greater than one and smaller than a difference between the second number and said first number.
24. A device according to claim 17 , wherein said filter filters the initial digital signal in the frequency-domain.
25. A device according to claim 17 , wherein said filter filters the initial digital signal in the time domain.
26. A device according to claim 17 , wherein the filtered signal is a frequency-domain signal and said windowing unit comprises frequency-domain to time-domain conversion processing for performing a frequency-domain to time-domain conversion processing on the filtered signal before using the windowing mask.
27. A device according to claim 17 , further comprising a digital-to-analog conversion stage coupled to an output of said windowing unit for performing a digital-to analog conversion of the windowed signal on a number of bits greater than 5.
28. A device according to claim 17 , wherein the signal comprises an UWB signal modulated according to a MB-OFDM modulation scheme.
29. A transmitter comprising:
a digital baseband stage for notching a transmission band of an analog signal to be transmitted and including sub-carriers to be modulated from digital modulation coefficients respectively associated to the sub-carriers, said digital baseband stage comprising a processor for removing subcarriers within a portion of the transmission band to be notched, said processor configured to perform the following
receiving successive frequency-domain groups each containing the digital modulation coefficients respectively associated to the sub carriers,
providing an initial digital signal from the successive frequency-domain groups,
filtering the initial signal with a frequency resolution greater than the frequency resolution of the frequency-domain groups to remove frequencies corresponding to the sub-carriers to be removed, and
windowing the filtered signal using a windowing mask having a representation in the frequency-domain including a main lobe and secondary lobes, a power spectrum of the main lobe and secondary lobes decreasing faster than an inverse of the frequency squared;
a digital-to-analog conversion stage coupled to said digital baseband stage for converting the windowed signal to an analog signal; and
an analog stage coupled to said digital-to-analog conversion stage for transmitting the windowed signal.
30. A transmitter according to claim 29 , further comprising a memory for containing digital windowing coefficients defining the windowing mask, the windowing coefficients having being obtained based upon a rectangle mask and a Gaussian function, and by multiplying the filtered signal by the windowing coefficients.
31. A transmitter according to claim 29 , wherein the initial digital signal comprises successive initial frequency-domain symbols respectively corresponding to the successive groups of digital modulation coefficients.
32. A transmitter according to claim 29 , wherein said processor comprises frequency-domain to time-domain conversion processing for respectively performing successive frequency-domain to time-domain conversion processing on the successive groups of the digital modulation coefficients for obtaining successive initial time-domain symbols.
33. A transmitter according to claim 29 , wherein said processor comprises frequency-domain to time domain conversion processing to respectively perform successive frequency-domain to time-domain conversion processing on the successive groups of digital modulation coefficients for obtaining successive intermediate time domain symbols, and adder processing for adding a suffix to each intermediate symbol for obtaining successive initial time-domain symbols, the suffix of an intermediate symbol being a copy of at least the first sample of the intermediate symbol.
34. A transmitter according to claim 33 , wherein each group of modulation coefficients comprises a first number of modulation coefficients corresponding to a first number of modulated subcarriers, and the signal to be transmitted comprises successive time-domain symbols including a second number of samples, the second number being greater than the first number, and the suffix of an intermediate symbol is a copy of N first samples of the intermediate symbol, with N being greater than one and smaller than a difference between the second number and the first number.
35. A transmitter according to claim 29 , wherein the filtered signal is a frequency-domain signal and said processor comprises frequency-domain to time-domain conversion processing for performing a frequency-domain to time-domain conversion processing on the filtered signal before using the windowing mask.
36. A transmitter according to claim 29 , wherein the signal comprises an UWB signal modulated according to a MB-OFDM modulation scheme.