Title : 
A new design method of wideband beam-former
         
        
            Author : 
Liu Jianguo ; Yuan Bingcheng
         
        
            Author_Institution : 
Sch. of Marine Eng., Northwestern Polytech. Univ., Xi´an, China
         
        
        
        
        
        
            Abstract : 
A new design method of wideband beam-former with constant beam-width is proposed: within every frequency bin, assume all weighting sequences of beams oriented to different directions are the same, and then it can be deduced that the sequences in all sub-bands have the same spectrum, but a scale relationship is satisfied on the frequency axes. The scale is equal to the ratio of the central frequency in each sub-band to the reference frequency. Based on this idea, a method to calculate the beam-forming matrix is presented: supposing the array aperture changes with frequency, the spectrums of weighting sequences in all sub-bands can be calculated by Chirped Z Transform (CZT), and then they can be obtained by inverse fast Fourier transform (IFFT). The validity of these conclusions is validated with computer simulations.
         
        
            Keywords : 
Z transforms; array signal processing; fast Fourier transforms; matrix algebra; CZT; IFFT; array aperture; beam-forming matrix; chirped Z transform; frequency axes; inverse fast Fourier transform; reference frequency; wideband beam-former; wideband signal processing; Apertures; Array signal processing; Computer simulation; Design engineering; Design methodology; Fast Fourier transforms; Frequency; Sensor arrays; Signal processing algorithms; Wideband; CZT; Constant Beam-width Beam-former (CBB); Wideband Beam-former based on CZT with Variable Aperture (CZTVA);
         
        
        
        
            Conference_Titel : 
Wireless Communications & Signal Processing, 2009. WCSP 2009. International Conference on
         
        
            Conference_Location : 
Nanjing
         
        
            Print_ISBN : 
978-1-4244-4856-2
         
        
            Electronic_ISBN : 
978-1-4244-5668-0
         
        
        
            DOI : 
10.1109/WCSP.2009.5371555