Envelope　tracking　(ET)　is　an　effective　way　to　improve　the　efficiency　of　power　amplifier　(PA)　for　5G　communication　systems.　To　understand　the　restriction　of　the　hybrid　supply　modulator　(HSM)　for　ultra-wide　band　ET　applications,　an　extended　power　loss　model　and　a　Short　Time　Fourier　Transform　(STFT)　methodology　are　put　forward　to　be　the　fundamental　guide　of　the　control　methodology.　An　average　voltage　alignment　(AVA)　algorithm　is　proposed,　which　aligns　the　current　waveforms　by　using　pre-cached　envelope　signals　to　reduce　the　power　loss　due　to　the　mismatch.　Furthermore,　a　digital　low　pass　filter　(LPF)　is　integrated　in　the　AVA　controller,　aiming　at　eliminating　the　necessity　of　very　high-speed　switches　in　HSM,　which　reduces　the　difficulty　of　hardware　facility.　The　prototype　chip　is　fabricated　with　a　standard　0.18μm　CMOS　technology　and　fulfilled　with　the　discrete　components　on　the　PCB　to　verify　the　methodology　and　the　system.　Measurement　results　show　that　the　proposed　method　extends　the　tracking　bandwidth　up　to　200-MHz,　and　achieves　20%　efficiency　increment　with　the　maximum　20　MHz　switching　frequency　decrement　comparing　to　the　normal　hysteresis　comparison　logic.　A　GaAs　PA　is　introduced　to　measure　the　system　linearity,　and　the　ACPR　of　ET　PA　reaches-32　dBc.　The　proposed　strategy　successfully　push　the　HSM　ET　application　to　hundreds　of　MHz　compared　with　the　previous　level　of　10-MHz.　©　2020　IEEE.