Self‐phasing can be achieved in a quadrifilar helix antenna (QHA) by displacing one of the bifilars along the axis of the helix, yielding a circularly polarized cardioid shaped pattern. Impedance bandwidth of 10% (2105–2345 MHz) has been achieved with Front to back ratio greater than 10 dB.
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Qureshi et al. (2014) studied this question.
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